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Finding the Fourth Proportional to 146,097.86, 201,639.78 and 84,834.50

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Solution

The fourth proportional to 146,097.86, 201,639.78 and 84,834.50 is: 117,085.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,097.86 : 201,639.78 = 84,834.50 : x
  2. Step 2: Convert to fraction form
    146,097.86/201,639.78 = 84,834.50/x
  3. Step 3: Cross multiply
    146,097.86x = 201,639.78 × 84,834.50
  4. Step 4: Simplify right side
    146,097.86x = 17,106,009,916.41
  5. Step 5: Solve for x
    x = 17,106,009,916.41/146,097.86
  6. Step 6: Final answer
    x = 117,085.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.